3 papers
math.QA2026
Fiber Functors of Equivariantizations of Finite Tensor Categories
César Galindo, Claudia Gallego, Yiby Morales
Let be a finite group acting on a finite tensor category . We classify fiber functors on the equivariantization in terms of equivariant exact modul…
math.RA2026
The PI property of skew PBW extensions
James Gómez, Claudia Gallego
In this article we study the polynomial identity (PI) property of skew PBW extensions. We show that every bijective skew PBW extension over a prime PI-algebra has nontrivial center…
math.RA2017
Stable rank of down-up algebras
Claudia Gallego, Andrea Solotar
We investigate the behavior of finitely generated projective modules over a down-up algebra. Specifically, we show that every noetherian down-up algebra has a non-free,…